Not evaluated
De Giorgi's conjecture in dimension eight (family 375)
The gist
On October 6, 2026, OpenAI announced a manuscript dated September 26, 2026 claiming a positive resolution of De Giorgi's conjecture in dimension eight.
DiscoverIA status on October 12, 2026: not evaluated, meaning no third-party evaluation found.
AI draft, not reviewedWhat has not been reviewed?
Text written by an AI (DiscoverIA pipeline), on . The status and its sources come from the registry; only the explanatory text has not been reviewed. A reported error is corrected, then the text is reviewed.
Cite this entry
A single status snapshot since Oct 12, 2026: a citation always points to a dated snapshot.
Cite snapshot 1, Oct 12, 2026
APA citation with the dated link
BibTeX @misc, key discoveria-oai-fam-375-de-giorgis-conjecture-dimension-eight-r1
@misc{discoveria-oai-fam-375-de-giorgis-conjecture-dimension-eight-r1,
author = {{DiscoverIA}},
title = {De Giorgi's conjecture in dimension eight (family 375)},
howpublished = {DiscoverIA registry, entry oai-fam-375-de-giorgis-conjecture-dimension-eight},
note = {Status “Not evaluated”, snapshot 1, recorded on October 12, 2026. New result},
year = {2026},
url = {https://discoveria.ai/entry/oai-fam-375-de-giorgis-conjecture-dimension-eight#releve-1},
urldate = {2026-10-12}
}Dated link opens this snapshot in the history
To understand ≈ 20 s reading time, estimated
What it changes
If the manuscript held, the conjecture would turn out to be true, rather than false, in eight-dimensional space. Its title does not target other dimensions.
What remains unclear
No Lean (a language in which a computer checks every step of a proof) is supplied for this family, and no third-party assessment is read. The sources read give neither the statement of the conjecture nor the manuscript's argument.
For experts
Sources, method, key facts, status history, report an error
Status
Not evaluated
Recorded on · github.com · README.md
Step 1 of 4 on the scale: not evaluated. Next step: under review.
- Announced
- Recordednot evaluated
- nextTo follow
What this status means
Source reading : Source read word for word (level 3 of 3)
The result is declared neither right nor wrong.
To move to “Under review”: a public review under way. To “Peer reviewed”: a journal publication or a review by named experts.
Sources
- Main sourcegithub.com · CONTENTS.mdlink only, reading not recorded
- Repositorygithub.com · De-Giorgis-conjecture-in…link only, reading not recorded
Method
Manuscript of September 26, 2026: “A positive resolution of De Giorgi's conjecture in dimension eight”. Section “Partial differential equations”; history.md records no revision. DiscoverIA status: not evaluated, meaning that no third-party evaluation has been found in the sources read. Set on October 12, 2026 from github.com (page read, quotation checked word for word: “Not all have accompanying Lean formalizations.”).
Limits
DiscoverIA has not checked this result itself.
Key facts
- Claimed by
- OpenAI (unreleased internal model)
announced on Oct 6, 2026 - Nature
- new result
- Field
- Mathematics (Partial differential equations)
- In openai/math
- family 375, section “Partial differential equations”, 1 manuscript dated Sep 26, 2026
- Lean proof
- none supplied
- Revisions
- none reported by the claimant
- Checked by
- no verifier identified
- Sources
- 2 : 2 links only
- This entry
- AI draft, not reviewed
Status history
Only one observation so far.
- 01
First observation:Not evaluatedCurrent status
Family with no Lean proof supplied. No third-party evaluation read.
Source: github.comread word for word
An observation is added; none is ever erased.
In the same set
openai/math: 719 manuscripts in 372 families from an unreleased internal model · entry 368 of 372, by family number
- Not evaluated : Global uniqueness in smooth isotropic elasticity (family 372)
- Not evaluated : Nonattainment in three-marginal Coulomb transport (family 373)
- Not evaluated : Sharp one-third stability of optimal transport maps (family 374)
- Not evaluated : De Giorgi's conjecture in dimension eight (family 375)
- Not evaluated : Universal computation in forced Navier–Stokes flows (family 376)
- Not evaluated : Interior C^(1,α) regularity for infinity-harmonic functions (family 377)
- Not evaluated : Counterexample to Hadwiger's conjecture
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